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What is the Least Common Multiple of 91783 and 91801?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 91783 and 91801 is 8425771183.

LCM(91783,91801) = 8425771183

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Least Common Multiple of 91783 and 91801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91783 and 91801, than apply into the LCM equation.

GCF(91783,91801) = 1
LCM(91783,91801) = ( 91783 × 91801) / 1
LCM(91783,91801) = 8425771183 / 1
LCM(91783,91801) = 8425771183

Least Common Multiple (LCM) of 91783 and 91801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91783 and 91801. First we will calculate the prime factors of 91783 and 91801.

Prime Factorization of 91783

Prime factors of 91783 are 17, 5399. Prime factorization of 91783 in exponential form is:

91783 = 171 × 53991

Prime Factorization of 91801

Prime factors of 91801 are 91801. Prime factorization of 91801 in exponential form is:

91801 = 918011

Now multiplying the highest exponent prime factors to calculate the LCM of 91783 and 91801.

LCM(91783,91801) = 171 × 53991 × 918011
LCM(91783,91801) = 8425771183